If the value of moment arm is zero, then the value of torque will be
Correct answer: C. τ = 0
- A. 1 > τ > 0
- B. τ < 0
- C. τ = 0
- D. τ = 1
Explanation
The torque (τ) is calculated by the formula τ = r × F, where r is the moment arm and F is the force applied. If the moment arm (r) is zero, then the torque will also be zero, as no rotational effect can be produced regardless of the force applied. Thus, the correct answer is that τ = 0.Option A is incorrect because a positive value of torque greater than zero requires a non-zero moment arm. Option B is incorrect because torque cannot be negative in this context-it is either zero or positive depending on the force and moment arm. Option D is incorrect because a torque of one would imply a non-zero moment arm and force, which contradicts the question's condition of a zero moment arm.
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About Vector Product
The vector product, or cross product, gives a vector perpendicular to two multiplying vectors, with magnitude AB sin θ and direction set by the right-hand rule. It covers properties such as anti-commutation, area from cross products, torque and angular momentum. Unlike the dot product, its result is a vector.
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